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Finding the Fourth Proportional to 409.29, 564.79 and 232.23

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Solution

The fourth proportional to 409.29, 564.79 and 232.23 is: 320.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.29 : 564.79 = 232.23 : x
  2. Step 2: Convert to fraction form
    409.29/564.79 = 232.23/x
  3. Step 3: Cross multiply
    409.29x = 564.79 × 232.23
  4. Step 4: Simplify right side
    409.29x = 131,157.78
  5. Step 5: Solve for x
    x = 131,157.78/409.29
  6. Step 6: Final answer
    x = 320.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.